Mathematics

Mathematics, 18.07.2019 20:20, jlankford148

Prove that there are exactly 10 sets of three consecutive positive integers with the least less than 1000 such that the least is divisible by 3, the middle is divisible by 5, and the greatest is divisible by 7.

answer

Answers: 2

Show answers

Similar questions

Предмет

Mathematics, 06.07.2019 20:20, depaze6652

Prove that the sum of three consecutive positive integers is divisible by 3

Answers: 1

Предмет

Mathematics, 10.08.2019 05:10, ferperez12

How many positive integers between 1000 and inclusive? (a) are divisible by nine? (b) are even? (c) have distinct digits? (d) are not divisible by 3? (e) are divisible by either 5 or 7? (f) are not divisible by either 5 or 7? (g) are divisible by 5 but not by 7? (h) are divisible by 5 and 7?

Answers: 2

Предмет

Mathematics, 04.09.2019 03:20, jackfrost5

Hey! my girl needs some on her math and i forgot how to do integers, 1) in a list of consecutive integers, each integer is one greater than the preceding integer. for example, 8, 9, and 10 are three consecutive integers. also, -7, -6, -5, and -4 are four consecutive integers. a. start with -2. write a list of four consecutive integers. b. start with n. write expressions for four consecutive integers. c. write expressions for three consecutive integers if the middle integer is n. d. write and simplify an expression for the sum of two consecutive integers. 2. a. use your expression from excercise 1d. show that the sum of two consecutive integers is always odd. b. show that the sum of three consecutive integers is always divisible by 3. c. is the sum of four consecutive integers divisible by 4? explain. d. is the sum of five consecutive integers divisible by 5? explain. e. take it further. for what whole numbers k is the sum of k consecutive integers always divisible by k? 3. if n is an integer, then the expression n(n+1) represents the product of two consecutive integers. a. explain how you know that the product of two consecutive integers is an even number. b. is the product of three consecutive integers divisible by three? explain. c. is the product of four consecutive integers divisible by 4? explain. d. is the product of five consecutive integers divisible by 5? explain.

Answers: 2

Предмет

Mathematics, 26.10.2019 02:43, Turtlelover05

How many positive integers less than 1000 a) aredivisibleby7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f) aredivisiblebyneither7nor11? g) havedistinctdigits?

Answers: 3

Do you know the correct answer?

Prove that there are exactly 10 sets of three consecutive positive integers with the least less than...

Questions in other subjects:

Konu

Business, 08.12.2020 08:10

Explain project teams...

Konu

Mathematics, 08.12.2020 08:10

Write the equation of the line that passes through the points (-4,3) and (-8,8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal lin...

Konu

History, 08.12.2020 08:10

Paine argues that life in Boston is miserable under English rule, but explains that those who like English rule must not understand what it is really like due to what reason?...

Konu

Social Studies, 08.12.2020 08:10

SECTION-A Q1. Match the items of List-I with that of List -il and select the correctoption using the codes given below:List-List-Il1. Carbohydrates2....

Konu

Physics, 08.12.2020 08:10

A college student likes to take her books to class by placing them in a box and pulling the box around behind her. She pulls on the box with a force of 90.0 N at an angle of 30.0⁰...

Konu

Mathematics, 08.12.2020 08:10

What is the slope of the line in the graph below? Help as fast as you can please!

Konu

English, 08.12.2020 08:10

A student is writing a research report for class. She is researching the topic of cell phone use at school. She creates the research question, What are the benefits of cell phones...

Konu

Arts, 08.12.2020 08:10

Fear not children for harambe has returned! and with a vengence

Konu

Mathematics, 08.12.2020 08:10

Please helppp due in 5 ...

Konu

Mathematics, 08.12.2020 08:10

Ralph has two accounts with South Trust National Bank. Over the summer, he mows lawns and deposits his earnings weekly into his savings account. Ralph also eats out every day and

Other tasks in the category: Mathematics More task